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Finding the Fourth Proportional to 36,678.60, 55,011.78 and 10,376.82

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Solution

The fourth proportional to 36,678.60, 55,011.78 and 10,376.82 is: 15,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,678.60 : 55,011.78 = 10,376.82 : x
  2. Step 2: Convert to fraction form
    36,678.60/55,011.78 = 10,376.82/x
  3. Step 3: Cross multiply
    36,678.60x = 55,011.78 × 10,376.82
  4. Step 4: Simplify right side
    36,678.60x = 570,847,338.94
  5. Step 5: Solve for x
    x = 570,847,338.94/36,678.60
  6. Step 6: Final answer
    x = 15,563.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.